A dual singular hybrid boundary node method based on origin singular intensity factor

In this work, a dual singular hybrid boundary node method(SBNM) is proposed for two-dimensional potential problems. The present SBNM is developed as an improved method of the traditional dual hybrid boundary node method to give a method to deal with the boundary layer effect, instead of the traditional rigid body displacement or auxiliary source points, and improves the numerical stability of the traditional dual hybrid boundary node method. The origin singular intensity factor is employed to deal with the singular and near singular when the source points and the calculating points are very close or coincident with each other, by this method, the source points are located on physical boundary and coincide with the calculating points, and an adaptive interpolating method is developed to calculate the origin singular intensity factor to overcome numerical instability in large-scale simulations caused by singular and near singular, based on origin singular intensity factor, a new scheme of internal variables interpolation is proposed. Some studies are done to given to verify that the origin singular intensity factors exist and are not infinite, and they have the same values for the same types of problems on the same referring point with the same calculating geometry. Numerical examples are shown that the present method is efficient and accurate, and it can be used for some other large practical engineering.